SCATTERING BY RESONANCES

Small perturbations imposed on an integrable system produce an evoluti on of the motion. In the course of this evolution the system can pass through a state of resonance. Quasi-random phenomena of capture into t he resonance and scattering on the resonance are discussed in this pap er for the case of a two-frequency system. Major topics are calculatio n of probability of capture, description of the motion of the captured phase points, calculation of a probabilistic distribution of the scat tering amplitude.